535269984480 has 1152 divisors, whose sum is σ = 2367076884480. Its totient is φ = 110580940800.

The previous prime is 535269984461. The next prime is 535269984541. The reversal of 535269984480 is 84489962535.

535269984480 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 69 + 98 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 881828337 + ... + 881828943.

It is an arithmetic number, because the mean of its divisors is an integer number (2054754240).

Almost surely, 2^535269984480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535269984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183538442240).

535269984480 is an abundant number, since it is smaller than the sum of its proper divisors (1831806900000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535269984480 is a wasteful number, since it uses less digits than its factorization.

535269984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 535269984480 in words is "five hundred thirty-five billion, two hundred sixty-nine million, nine hundred eighty-four thousand, four hundred eighty".